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Device that measures changes in an economic variable or a group of variables over a period of time – - Economics

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Device that measures changes in an economic variable or a group of variables over a period of time –

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Device that measures changes in an economic variable or a group of variables over a period of time – Index number

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अध्याय 6: Index Numbers - Give economic terms

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संबंधित प्रश्न

Statements that are incorrect in relation to index numbers.

  1. An index number is a geographical tool.
  2. Index numbers measure changes in air pressure.
  3. Index numbers measure relative changes in an economic variable.
  4. Index numbers are specialized averages.

Complete the Correlation:

__________ : Single variable :: Composite index : Group of variables


State with reason whether you agree or disagree with the following statement:

Index numbers can be constructed without the base year.


Index number which is computed from a single variable called is a ______.


Assertion (A): Index numbers are statistical devices.

Reasoning (R): Index numbers measure only changes in the price level over a period of time.


Identify & explain the concept from the given illustration.

Bombay Stock Exchange has developed “Sensex” as a stock market index for reflecting the share prices of listed companies.


Construct Quantity index number from the given data:

Commodity A B C D E
Base year quantities 170 150 100 195 205
Current year quantities 90 70 75 150 95

Define Index Number


Define Laspeyre’s price index number


Explain Paasche’s price index number


Write note on Fisher’s price index number


Define Time Reversal Test


Explain factor reversal test


Define true value ratio


Discuss about Cost of Living Index Number


Define family budget method


State the uses of cost of Living Index Number


Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for the 2010 from the following data.

Commodity Price Quantity
2000 2010 2000 2010
A 12 14 18 16
B 15 16 20 15
C 14 15 24 20
D 12 12 29 23

Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:

Year Commodity: A Commodity: B Commodity: C
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
1996 5 10 8 6 6 3
1999 4 12 7 7 5 4

Calculate Fisher’s index number to the following data. Also show that it satisfies Time Reversal Test.

Commodity 2016 2017
Price (Rs.) Quantity (kg) Price (Rs.) Quantity (kg)
Food 40 12 65 14
Fuel 72 14 78 20
Clothing 36 10 36 15
Wheat 20 6 42 4
Others 46 8 52 6

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weights
2012 2015
Rice 250 280 10
Wheat 70 85 5
Corn 150 170 6
Oil 25 35 4
Dhal 85 90 3

Choose the correct alternative:

Another name of consumer’s price index number is:


Choose the correct alternative:

Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:


Choose the correct alternative:

Consumer price index are obtained by:


Choose the correct alternative:

Which of the following Index number satisfy the time reversal test?


Calculate the Laspeyre’s, Paasche’s and Fisher’s price index number for the following data. Interpret on the data.

Commodities Base Year Current Year
Price Quantity Price  Quantity
A 170 562 72 632
B 192 535 70 756
C 195 639 95 926
D 1987 128 92 255
E 1985 542 92 632
F 150 217 180 314
7 12.6 12.7 12.5 12.8
8 12.4 12.3 12.6 12.5
9 12.6 12.5 12.3 12.6
10 12.1 12.7 12.5 12.8

Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Commodities Price Quantity
Base Year Current Year Base Year Current Year
Wheat 6 10 50 56
Ghee 2 2 100 120
Firewood 4 6 60 60
Sugar 10 12 30 24
Cloth 8 12 40 36

Compute the consumer price index for 2015 on the basis of 2014 from the following data.

Commodities Quantities Prices in 2015 Prices in 2016
A 6 5.75 6.00
B 6 5.00 8.00
C 1 6.00 9.00
D 6 8.00 10.00
E 4 2.00 1.50
F 1 20.00 15.00

An Enquiry was made into the budgets of the middle class families in a city gave the following information.

Expenditure Food Rent Clothing Fuel Rice
Price(2010) 150 50 100 20 60
Price(2011) 174 60 125 25 90
Weights 35 15 20 10 20

What changes in the cost of living have taken place in the middle class families of a city?


Assertion and reasoning question:

  • Assertion (A): The index number considers all factors.
  • Reasoning (R): The index number is based on samples.

Explain the meaning of index number.


State with reasons whether you agree or disagree with the following statement:

Index number measures changes in the price level only.


Read the given passage and answer the questions:

Index Number is a technique of measuring changes in a variable or group of related variables with reference to time, geographical location and other characteristics.

Index Number is very useful for economists, farmers, traders, government, educationalists and trade union leaders for planning and implementing the plans according to their sector.

The scope of index number is not limited to only one subject but it extends to many subjects such as Economics, Educational science, Psychology, History, Sociology, Geography etc.

While framing index number its objective must be determined. To attain the objective the information is collected in various ways and this information is used for comparing two different time periods. For this purpose, the base year’s index is assumed as 100 and accordingly the value of the current year is calculated.

Laspeyre, Paasche and Fisher have suggested different methods for constructing index numbers.

  1. Explain the meaning of Index Number.
  2. To whom the Index Number is useful?
  3. Express your opinion about the given passage.

Choose the correct pair.

Group A Group B
1) Price Index  a) `(sump_1q_1)/(sump_0q_0)xx100`
2) Value Index b) `(sumq_1)/(sumq_0)xx100`
3) Quantity Index  c) `(sump_1q_1)/(sump_0q_1)xx100`
4) Paasche's Index d) `(sump_1)/(sump_0)xx100`

The base year's index of a selected variable is assumed as ______.


Complete the correlation:

P0 : ______ : : P1 : Current year price.


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